geoscience.net logo
+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Chaos, oscillation and the evolution of indirect reciprocity in n-person games


, : Chaos, oscillation and the evolution of indirect reciprocity in n-person games. Journal of Theoretical Biology 252(4): 686-693

Evolution of cooperation among genetically unrelated individuals has been of considerable concern in various fields such as biology, economics, and psychology. The evolution of cooperation is often explained by reciprocity. Under reciprocity, cooperation can prevail in a society because a donor of cooperation receives reciprocation from the recipient of the cooperation, called direct reciprocity, or from someone else in the community, called indirect reciprocity. Nowak and Sigmund [1993. Chaos and the evolution of cooperation. Proc. Natl. Acad. Sci. USA 90, 5091-5094] have demonstrated that directly reciprocal cooperation in two-person prisoner's dilemma games with mutation of strategies can be maintained dynamically as periodic or chaotic oscillation. Furthermore, Eriksson and Lindgren [2005. Cooperation driven by mutations in multi-person Prisoner's Dilemma. J. Theor. Biol. 232, 399-409] have reported that directly reciprocal cooperation in n-person prisoner's dilemma games (n>2) can be maintained as periodic oscillation. Is dynamic cooperation observed only in direct reciprocity? Results of this study show that indirectly reciprocal cooperation in n-person prisoner's dilemma games can be maintained dynamically as periodic or chaotic oscillation. This is, to our knowledge, the first demonstration of chaos in indirect reciprocity. Furthermore, the results show that oscillatory dynamics are observed in common in the evolution of reciprocal cooperation whether for direct or indirect.

US$19.90

PMID: 18371983

DOI: 10.1016/j.jtbi.2008.02.007


Other references

Brazier, P.A., 1967: The outpatient department in the sixties. Journal of the Royal College of General Practitioners 14(1): 67-83

Lohmann, W.; Schmehl, W.; Bernhardt, P.; Wickert, H.; Ibrahim, M.; Strobel, J., 1988: Device for measuring native fluorescence of lenses. Journal of Biochemical and Biophysical Methods 17(2): 155-158

Mol, R.; Filek, M.; Dubert, F.; Matthys Rochon, E., 1999: Cytological events during progamic phase in maize. Acta Biologica Cracoviensia Series Botanica 41(SUPPL 1): 22

Gulyi M.F.; Mel'nichuk D.A.; Zhuravskii N.I.; Bratus' N.I., 1985: Effect of mineral ammonium preparations mp 15 and mp 7 on nitrogen metabolism and milk productivity of cows. Short-term feeding of lactating cows on MP-15 and MP-7 preparations was studied for its influence on indices of the acid-base equilibrium of their blood, nitrogen metabolism and milk productivity. It is shown that the feeding of the test group cow...

Rajagopal, J.; Kamath, A.G.; Kamath, G.Girish.; Solanki, N., 2010: Foveal neovascularisation in diabetic retinopathy: case report and review of literature. To report a rare case of unilateral foveal neovascularisation in an asymptomatic patient with 15-year history of insulin-dependent diabetes mellitus and bilateral proliferative diabetic retinopathy and diabetic macular edema. Fundus fluorescein an...

Zhekhel Y.N.; Zhekhel N.F., 1977: The block approximation of covariance matrices used in indentification of geophysical objects. Leningrad, Universitet, Uchenyye Zapiski, Fizicheskiy i Geologicheskiy Fakul'tety, Seriya Fizicheskikh i Geologicheskikh Nauk 391, Vypusk 26, Voprosy geofiziki): 190-196

YamMunFei; Basir,R.; Asmawi,M.Z.; Rosidah; Ahmad,M.; Akowuah,G.A., 2008: Antioxidant and hepatoprotective activities of Elephantopus tomentosus ethanol extract. The current study evaluated the antioxidant and hepatoprotective activities of <i>Elephantopus tomentosus</i> L. (Asteraceae) ethanol extract (ET). In the experiment, total antioxidant capacity, reducing capacity, DPPH* and hydrogen pe...

Zupancic, Z.; Ugrcic, I.; Jelavic, V.; Ivesa-Petricevic, S.; Greguric, J.; Jukic, B.; Smerdel, S., 1986: Antibodies for human influenza type A virus in bird sera. Of a total of 391 serum samples from pigeons, 79 of 335 (23.58%) from feral pigeons and 5 of 29 (17.24%) from race pigeons, but none from 27 rock doves, were positive for haemagglutination inhibition (HI) antibodies (<more or =>1:8) against...

Kogan, A.B.; Zisser, L.Ia.; Shchukina, T.E.; Perekhod'ko, V.V.; Voblikov, V.N., 1974: Problems of occupational pathology in open coal mining in the Kuznetsk Basin. Gigiena Truda i Professional'nye Zabolevaniia 18(3): 37-38

Karpova, M.N.; Zin'kovskii, K.A.; Kuznetsova, L.V.; Klishina, N.V., 2015: Increase of the seizure threshold in C57BL/6 mice after citicoline administration. We studied the dose-dependent effect of preventive intraperitoneal injection of citicoline (cytidine 5'-diphosphocholine) on acute generalized epileptiform activity in C57Bl/6 mice. The duration of citicoline action was also evaluated. Admini...